Kosher Baskets Making A Kosher Fruit Basket?

Making a kosher fruit basket? - kosher baskets

I try to make a fruit basket, a gift for my friend invited me to bring to Thanksgiving. You keep kosher, so I wanted to check - I'll fresh-cut fruit, you should use good (I of apples, pears, oranges think), but what about the basket that is?

I know that the use of non-kosher utensils, which can usually not kosher, kosher food, the basket will be a problem?